Tag Archive for: manifolds

definition differences

Yardsticks to Metric Tensor Fields

/
1 Comment
I asked myself why different scientists understand the same thing seemingly differently, especially the concept of a metric tensor. If we ask a topologist,…
deriitive3

The Pantheon of Derivatives – Sections, Pullbacks And Pushforwards (III)

/
4 Comments
  Some Topology Whereas the terminology of vector fields, trajectories, and flows almost by itself suggests its origins and physical relevance,…
deriitive2

The Pantheon of Derivatives – Manifolds And Vector Fields (II)

/
8 Comments
  Generalizations Beyond ##\mathbb{R}## and ##\mathbb{C}## As mentioned in the section on complex functions (The Pantheon of Derivatives - Part…
mathanalysis1

Self-Study Analysis: A Proof-to-Manifolds Roadmap

/
26 Comments
Direct answer: To self-study real analysis from a calculus background, follow this sequence: complete a proof-writing book (Velleman's How to Prove It…